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Simplifying 7x + -8 + 2(x + 12) = 52 Reorder the terms: 7x + -8 + 2(12 + x) = 52 7x + -8 + (12 * 2 + x * 2) = 52 7x + -8 + (24 + 2x) = 52 Reorder the terms: -8 + 24 + 7x + 2x = 52 Combine like terms: -8 + 24 = 16 16 + 7x + 2x = 52 Combine like terms: 7x + 2x = 9x 16 + 9x = 52 Solving 16 + 9x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9x = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 52 + -16 9x = 52 + -16 Combine like terms: 52 + -16 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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